Extensions 1→N→G→Q→1 with N=Q₈×C₁₀ and Q=C₂

Direct product G=N×Q with N=Q₈×C₁₀ and Q=C₂

		d	ρ	Label	ID
Q₈×C₂×C₁₀		160		Q8xC2xC10	160,230

Semidirect products G=N:Q with N=Q₈×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₀)⋊₁C₂ = C₂×Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80		(Q8xC10):1C2	160,162
(Q₈×C₁₀)⋊₂C₂ = C₂₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):2C2	160,163
(Q₈×C₁₀)⋊₃C₂ = D₁₀⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80		(Q8xC10):3C2	160,167
(Q₈×C₁₀)⋊₄C₂ = C₂₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80		(Q8xC10):4C2	160,168
(Q₈×C₁₀)⋊₅C₂ = C₂×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80		(Q8xC10):5C2	160,220
(Q₈×C₁₀)⋊₆C₂ = C₂×Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80		(Q8xC10):6C2	160,221
(Q₈×C₁₀)⋊₇C₂ = Q₈.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):7C2	160,222
(Q₈×C₁₀)⋊₈C₂ = C₅×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80		(Q8xC10):8C2	160,183
(Q₈×C₁₀)⋊₉C₂ = C₅×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80		(Q8xC10):9C2	160,185
(Q₈×C₁₀)⋊₁₀C₂ = C₁₀×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80		(Q8xC10):10C2	160,194
(Q₈×C₁₀)⋊₁₁C₂ = C₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):11C2	160,198
(Q₈×C₁₀)⋊₁₂C₂ = C₅×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):12C2	160,233
(Q₈×C₁₀)⋊₁₃C₂ = C₁₀×C₄○D₄	φ: trivial image	80		(Q8xC10):13C2	160,231

Non-split extensions G=N.Q with N=Q₈×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₀).₁C₂ = Q₈⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).1C2	160,42
(Q₈×C₁₀).₂C₂ = C₂₀.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10).2C2	160,43
(Q₈×C₁₀).₃C₂ = C₂×C₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).3C2	160,164
(Q₈×C₁₀).₄C₂ = Dic₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).4C2	160,165
(Q₈×C₁₀).₅C₂ = Q₈×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).5C2	160,166
(Q₈×C₁₀).₆C₂ = C₅×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10).6C2	160,51
(Q₈×C₁₀).₇C₂ = C₅×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).7C2	160,53
(Q₈×C₁₀).₈C₂ = C₅×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).8C2	160,189
(Q₈×C₁₀).₉C₂ = C₁₀×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).9C2	160,195
(Q₈×C₁₀).₁₀C₂ = Q₈×C₂₀	φ: trivial image	160		(Q8xC10).10C2	160,180

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